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Finding the Third Proportional to 91,920 and 199,392

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Solution

The third proportional to 91,920 and 199,392 is: 432,519.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,920 : 199,392 = 199,392 : x
  2. Step 2: Convert to fraction form
    91,920/199,392 = 199,392/x
  3. Step 3: Cross multiply
    91,920x = 199,392 × 199,392
  4. Step 4: Simplify right side
    91,920x = 39,757,169,664
  5. Step 5: Solve for x
    x = 39,757,169,664/91,920
  6. Step 6: Final answer
    x = 432,519.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.